Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97104x |
Isogeny class |
Conductor |
97104 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2019328 |
Modular degree for the optimal curve |
Δ |
13388096905005312 = 28 · 32 · 72 · 179 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-715660,-233200276] |
[a1,a2,a3,a4,a6] |
j |
1335255248/441 |
j-invariant |
L |
0.65658592129852 |
L(r)(E,1)/r! |
Ω |
0.16414642406533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48552m1 97104i1 |
Quadratic twists by: -4 17 |